Symmetry is a fundamental concept in Physics. In the Lagrangian formalism, Noether's symmetries play a central role, since Noether's theorem shows a direct connection between symmetries and conservation laws [1]}. In particular, the starting point of modern gauge theories [2]}, [3]} is a Lagrangian density admitting a prescribed symmetry group. The associated conservation laws should then reflect experimental observations. Examples of conserved quantities include energy, linear momentum, angular momentum, and electric charge.
